B Hadron Relative Fragmentation Fractions

B Hadron Fragmentation Fractions

The B hadron relative fragmentation fractions have been measured using semileptonic B signals in the first 360 pb^-1 of data collected with the CDF detector. The five lepton-charm signals reconstructed are lD⁺, lD⁰, lD*⁺, lD_s, and l/\_c. These are related to four B hadrons B⁰, B^-, B_s, and /\_b with a sample composition. These results have been approved at the B meeting on February 16, 2006. A full description of the analysis can be found in CDF note 8140.

We measure

f_u f_d	=	1.054 ± 0.018 (stat.)	+0.025 –0.045	(syst.) ± 0.082 (BR)

f_s f_u + f_d	=	0.160 ± 0.005 (stat.)	+0.011 –0.010	(syst.)	+0.057 –0.034	(BR)

f_{/\_b} f_u + f_d	=	0.281 ± 0.012 (stat.)	+0.058 –0.056	(syst.)	+0.128 –0.086	(BR)

Poorly measured branching ratios can be factored out of the result, giving

f_s f_u + f_d		× BR(D_s->phi pi)	=	(5.76 ± 0.18 (stat.)	+0.45 –0.42	(syst.)) × 10^-3

f_{/\_b} f_u + f_d		× BR(/\_c->pKpi)	=	(14.1 ± 0.6 (stat.)	+5.3 –4.4	(syst.)) × 10^-3

f_{/\_b} f_u + f_d	× BR(/\_b-> lnu/\_cX)	× BR(/\_c->pKpi)	=	(12.9 ± 0.6 (stat.)	± 3.4	(syst.)) × 10^-⁴

The eps versions of all figures blessed in conjunction with this analysis are here:

Charm signals in the electron plus displaced track (SVT) data

Figure 1: D+ signal (narrow signal region)
Figure 2: D0 signal (narrow signal region)
Figure 3: D* signal (narrow signal region)
Figure 4: Ds signal
Figure 5: /\c signal
Figure 6: /\c signal without the dE/dx cut

Charm signals in the muon plus displaced track (SVT) data

Figure 7: D+ signal (narrow signal region)
Figure 8: D0 signal (narrow signal region)
Figure 9: D* signal (narrow signal region)
Figure 10: Ds signal
Figure 11: /\c signal
Figure 12: /\c signal without the dE/dx cut

Wrong sign electron plus displaced track (SVT) charm signals

Figure 13: WS D+ signal
Figure 14: WS D0 signal
Figure 15: WS D* signal
Figure 16: WS Ds signal
Figure 17: WS /\c signal

Wrong sign muon plus displaced track (SVT) charm signals

Figure 18: WS D+ signal
Figure 19: WS D0 signal
Figure 20: WS D* signal
Figure 21: WS Ds signal
Figure 22: WS /\c signal

muD⁺ comparions between data and Monte Carlo

Figure 23: ct*(muD)
Figure 24: pt(K)
Figure 25: pt(pi(1))
Figure 26: pt(pi(2))

eD_s comparions between data and Monte Carlo

Figure 27: m(eDs)
Figure 28: pt(K(1))
Figure 29: pt(K(2))
Figure 30: pt(pi)

eD*⁺ comparions between data and Monte Carlo

Figure 31: m(eD*)
Figure 32: pt(K)
Figure 33: pt(pi)
Figure 34: pt(pi*)

mu/\_c comparions between data and Monte Carlo

Figure 35: m(mu/\c)
Figure 36: pt(p)
Figure 37: pt(K)
Figure 38: pt(pi)

p_T spectra comparions between data and Monte Carlo

Figure 39: pt(muD+) inclusive J/psi pt spectrum
Figure 40: pt(muDs) inclusive J/psi pt spectrum
Figure 41: pt(mu/\c) tuned Monte Carlo pt spectrum
Figure 42: pt(mu/\c) inclusive J/psi pt spectrum

dE/dx

Figure 43: dE/dx likelihood ratio

XFT efficiency in data

XFT efficiency in data relative to Monte Carlo

The eps versions of tables blessed in conjunction with this analysis are here:

Table 1: Fit results with statistical errors only
Table 2: Fit results where f_u/f_d=1 with statistical errors only
Table 3: Fit results with relaxed spectator constraints with statistical errors only
Table 4: B contributions to the lepton-charm signals
Table 5: Systematic uncertainties

Additionally, the number of D_s-> KKpi reflection events in the window [1.78, 1.95], which lie beneath in the D⁺ signal are calculated to be:

N_e+SVT(D_s-> KKpi) = 1577 ± 133

N_mu+SVT(D_s-> KKpi) = 2570 ± 208

These numbers are determined by measuring the D_s-> KKpi signal which lies within the D⁺ signal region and scaling it by Monte Carlo predictions:

N(D_s-> KKpi) = N(D_s->phi pi)/R_{phi pi}

where

R_{phi pi} = N(D_s->phi pi)/N(D_s-> KKpi)

is determined from Monte Carlo. We find

R_{phi pi} = 0.246± 0.016.

Figures related to the D_s reflection in the D⁺ signal are here:

Figure A: N(Ds->phi pi) in the e+SVT data set
Figure B: N(Ds->phi pi) in the mu+SVT data set
Figure C: Monte Carlo shape of Ds reflection in D+ signal region